Virial Theorem in Nonlocal Newtonian Gravity

Universe

Bahram Mashhoon¹ 

[1] Department of Physics and Astronomy, University of Missouri, Columbia, MO 65211, USA;

关键词: nonlocal gravity;    celestial mechanics;    dark matter;   

DOI  :  10.3390/universe2020009

来源: DOAJ

【 摘 要 】

Nonlocal gravity is the recent classical nonlocal generalization of Einstein’s theory of gravitation in which the past history of the gravitational field is taken into account. In this theory, nonlocality appears to simulate dark matter. The virial theorem for the Newtonian regime of nonlocal gravity theory is derived and its consequences for “isolated” astronomical systems in virial equilibrium at the present epoch are investigated. In particular, for a sufficiently isolated nearby galaxy in virial equilibrium, the galaxy’s baryonic diameter D 0—namely, the diameter of the smallest sphere that completely surrounds the baryonic system at the present time—is predicted to be larger than the effective dark matter fraction fD Mtimes a universal length that is the basic nonlocality length scaleλ 0≈ 3 ± 2 kpc.

【 授权许可】

Unknown